EXACT SOLUTIONS OF HEAT AND MASS TRANSFER ... - MAT-UnB

217 downloads 175096 Views 239KB Size Report
problems that have no analytical solution. T hree basic approaches are traditionally used to see k e x act solutions of non- linear differential equations : (i) search ...




 

      ! #" #$ % '&)( *,+.-/10325476987:;& -=?+.-@A0CBCD E)*,4.F?G

JH ILKNMPORQTSUM V!WYX[Z]\9^`_`a]WcbUWda]WNegfU^`_ihNWdjJklWNmnfoe@. +S'P5 4">  48' " $ 9@4:@.

y» ²~µ¿ 'sÏ ]Åc°²~³¿ 'nϨË yÅ;ÑR°‚²¤ÇÛ¯?·°‚²~°‚Á–»yĂ¾~¯Rµš»‚¸“±wº~¯

Ño°²ÇÛ¯ ±w·¶¯R°±w¯¼³½¨²¦°µ»‚±¶º~¯R·.¯%$°‚ÑP±{µE



   %  .1    $ "

B   "

!

PÂPAs¹·¶½–²Äy¯R·9Ó

 $  %

As°‚´£°·¶µ *T½¨½…  Ï  Ï .  °Á©°+*]±w½¨»y²~»UÆÛÂ.ßJÏ  Ï .-¾·¶³Èn¾~´»UƪÂAªÏ05.Ï .\Þ½3*Tº,°‚½¨Á–»UÆÛ  Ï 5.Ϩ )   $ (  $   % )6 + "  %       %"#+.) +   "#2 ?  $  %Êݽ¨² ¢¾~µ¶µ»y½‡±wµgÈ]°‚²~µ *T½¨Èy žÏ \»‚µ¶ÑR»U׍“¿gË ]Ô ]ÅdÏ

 Ϩ G!+

 ; 

AnÑNº~Á–½¨ÑNºT±¶½–²~Ä®3ϨÂ;%

  + 2G!+    

 +

%

  +

G +  Ê ½–² 

?

P  RÑ °‚³~¯¼´@½¨Ñ

 $  %

¾µ¶µ¶½–°‚²ÎóÐt½32¼´£°•±wÄy½ 2‚Â

•Â \ Ñ  ·w°oגÓ9® ½–Á¨Á…  ¯P× c »y· *AÂL¿gË‚ÜË[ÅPÏ

¢»yÇ~½¨Á–Á–°‚·¶³ Â žÏ‡Â   %   % %  "#       " +  +A  + " +   "  $  $&  ""i 9“·¶°‚²~µRÏ  A\ /šÂ Ï  ¹~¹Á…Ï\¯¼ÑNº Ï¨Â )yÜ,¿ 'yÅP ¿gËyւÜ]ÅP¹ ÏÛÔyÔ+Ï

   



  sA °‚´£°·¶µ *T½¨½…  Ï  Ï ."As»yÇÛ»yÁ…ÂsØNÏ"\$χÂJ + 8 "  %

P  Lº Ï{ßuÈnÑNº~½–µË) )Ï 6

Ë('+

 

 

°½¨±wµ